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Two Resonances of Parametric Time Varying Circuit (Review)
Radioelectronics and Communications Systems Pub Date : 2019-09-01 , DOI: 10.3103/s0735272719090012
N. D. Biryuk , A. Yu. Krivtsov

The theory of parametric time varying circuit is of interest as an introduction to the theory of nonlinear circuit. As follows from the principle of linear representation, which is little known in radio electronics, it is advisable to select for analysis the parametric time varying circuit in the most general form. The significance of ordinary circuit for practice is stipulated by the phenomenon of resonance that is also intrinsic) to the parametric time varying circuit. The resonance theory of the latter is not easy due to the need of sophisticated mathematical apparatus. In addition, two resonances, similar by their names, but quite different in essence manifest themselves in a parametric time varying circuit, namely, parametric resonance and the resonance of parametric time varying circuit. The parametric resonance is the characteristic of free processes in the circuit. This resonance is identified with an unstable circuit when its free process tends to rise to infinity with time. The resonance of parametric time varying circuit is a direst generalization of the resonance of ordinary circuit and represents the characteristic of forced oscillations. These two fundamentally different phenomena have similar names that is inconvenient for practice. Therefore, we propose to name the last of two resonances as “classical resonance”. Below we present an analysis of both resonances in a more general form than can be found in available literature.

中文翻译:

参数时变电路的两个谐振(回顾)

参数时变电路理论作为非线性电路理论的介绍很有趣。根据无线电电子学中鲜为人知的线性表示原理,建议选择最通用形式的参数时变电路进行分析。普通电路在实践中的意义是由参数时变电路固有的谐振现象规定的。由于需要复杂的数学仪器,后者的共振理论并不容易。此外,在参量时变电路中,有两种名称相似但本质不同的谐振,即参量时变电路的谐振和参量时变电路的谐振。参数谐振是电路中自由过程的特征。当其自由过程随着时间的推移趋于无穷大时,这种谐振被认为是不稳定的电路。参量时变电路的谐振是普通电路谐振的最直接的概括,代表了强迫振荡的特性。这两种根本不同的现象具有相似的名称,不便于实践。因此,我们建议将两个共振中的最后一个命名为“经典共振”。下面我们以一种比现有文献中可以找到的更一般的形式对两种共振进行分析。参量时变电路的谐振是普通电路谐振的最直接的概括,代表了强迫振荡的特性。这两种根本不同的现象具有相似的名称,不便于实践。因此,我们建议将两个共振中的最后一个命名为“经典共振”。下面我们以比现有文献中可以找到的更一般的形式对两种共振进行分析。参量时变电路的谐振是普通电路谐振的最直接的概括,代表了强迫振荡的特性。这两种根本不同的现象具有相似的名称,不便于实践。因此,我们建议将两个共振中的最后一个命名为“经典共振”。下面我们以比现有文献中可以找到的更一般的形式对两种共振进行分析。
更新日期:2019-09-01
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